1)Show that the following function is continuous at (0,0):

cos(x²y/x² + y²) , (x,y) =/ (0,0) PS ' =/ ' means not equal.

f(x,y) =

1, (x,y)= (0,0)

2) Find the following limit or explain that the limit does not exist:

lim 10x⁵y/ x¹⁰+y²

(x,y)->(0,0)

please explain it in details. thanks.